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Integral of (37-11x)/((-1x-2+x^2)(x-3))

\int\frac{37-11x}{\left(x^2-x-2\right)\left(x-3\right)}dx

Step by step solution

Problem

$\int\frac{37-11x}{\left(x^2-x-2\right)\left(x-3\right)}dx$

Show full step-by-step solution

Answer

$\ln\left|x-3\right|+4\ln\left|1+x\right|-5\ln\left|x-2\right|+C_0$
$\int\frac{37-11x}{\left(x^2-x-2\right)\left(x-3\right)}dx$

Main topic:

Integrals by partial fraction expansion

Used formulas:

5. See formulas

Time to solve it:

0.42 seconds